Question

In $△DEF$, Line PQ $\parallel$ side EF. Find DP.
$DQ=1.8$ cm, $QF=5.4$ cm, $EP=7.2$ cm.

• A. $2.4$ cm
• B. $4.2$ cm
• C. $3.5$ cm
• D. $1.8$ cm

Answer 1

The correct option is A $2.4$ cm

In $△DEF$, $PQ\parallel EF$

By Basic proportionality theorem,

$\therefore \frac{DP}{PE}=\frac{DQ}{QF}$

$\therefore \frac{DP}{7.2}=\frac{1.8}{5.4}$

$\therefore DP=\frac{1.8\times 7.2}{5.4}$

$\therefore DP=2.4$ cm.